Title of article
On uniqueness of Gibbs measure for pp-adic countable state Potts model on the Cayley tree
Author/Authors
Andrei Khrennikov، نويسنده , , Farrukh Mukhamedov، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
5
From page
5327
To page
5331
Abstract
In the present paper we consider countable state of pp-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime pp. An analogous fact is not true when the number of spins is finite.
Keywords
pp-adic numbers , Potts model , Gibbs measure , Unique
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861637
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